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Co-ordinate Geometry MEI C1 Help Watch

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    A(2,-1) and B(4,3) are two points on a circle with centre (1,2). What is the distance of the chord from the centre of the circle?
    A step to step solution thanks
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    (Original post by davies4phones)
    A(2,-1) and B(4,3) are two points on a circle with centre (1,2). What is the distance of the chord from the centre of the circle?
    A step to step solution thanks
    We don't give step-by-step solutions here. Have a go first, show us what you've done and where you're going wrong, then we'll be able to guide you in the right direction.

    As for a place to start, sketch a small diagram of the circle, chord and the centre. I assume it wants the shortest distance from the chord to the centre which would mean you need to find a point on the chord (A) which makes OA perpendicular to the chord, then find the distance of this line.
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    you need to find the midpoint of the chord then using the equation ( which is probably in your book) you can find the distance between the two points
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    (Original post by RDKGames)
    We don't give step-by-step solutions here. Have a go first, show us what you've done and where you're going wrong, then we'll be able to guide you in the right direction.

    As for a place to start, sketch a small diagram of the circle, chord and the centre. I assume it wants the shortest distance from the chord to the centre which would mean you need to find a point on the chord (A) which makes OA perpendicular to the chord, then find the distance of this line.
    So the midpoint of the chord is (3,1)
    so then do I need to find out the distance between (1,2) and (3,1) using the distance formula involving pythag
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    (Original post by davies4phones)
    So the midpoint of the chord is (3,1)
    so then do I need to find out the distance between (1,2) and (3,1) using the distance formula involving pythag
    That's right.
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    (Original post by CrystalSalvatore)
    you need to find the midpoint of the chord then using the equation ( which is probably in your book) you can find the distance between the two points
    Thank you
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    (Original post by RDKGames)
    That's right.
    Thank you!
 
 
 
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